Room wanted in SE London

Hi there! I am Gemma and I'm looking to move to ideally a privately rented room within the general south east london area in the first 2 weeks of September. I have some small pieces of furniture but a LOT of books so all I really need is a bed, preferably with underneath hidden storage; wardrobes and hopefully a desk??
I am British and self employed. I am a wigmaker for TV, film, theatre and also private medical patients, so often work for long hours on my own at home with a good box-set on in the background! I am tidy and considerate, and very adaptable in terms of available amenities, but would prefer a location with decent transport links.